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We present a comprehensive analysis (photometric and kinematical) of poorlystudied open cluster NGC 4337 using 2MASS, WISE, APASS, and Gaia~DR2 database.By determining the membership probabilities of stars, we identified 624 mostprobable members with membership probability higher than $50\%$ by using propermotion and parallax data taken from Gaia~DR2. The mean proper motion of thecluster is obtained as $\mu_{x}=-8.83\pm0.01$ and $\mu_{y}=1.49\pm0.006$ masyr$^{-1}$. We find the normal interstellar extinction towards the clusterregion. The radial distribution of members provides a cluster radius of 7.75arcmin (5.63 pc). The estimated age of $1600\pm180$ Myr indicates that NGC 4337is an old open cluster with a bunch of red giant stars. The overall massfunction slope for main-sequence stars is found as $1.46\pm0.18$ within themass range 0.75$-$2.0 $M_\odot$, which is in fair agreement with Salpeter'svalue (x=1.35) within uncertainty. The present study demonstrates that NGC 4337is a dynamically relaxed open cluster. Using the Galactic potential model,Galactic orbits are obtained for NGC 4337. We found that this object follows acircular path around the Galactic center. Under the kinematical analysis, wecompute the apex coordinates $(A, D)$ by using two methods: (i) the classicalconvergent point method and (ii) the AD-diagram method. The obtainedcoordinates are: $(A_{conv}, D_{conv})$ = (96$^{\textrm{o}}$.27 $\pm$0$^{\textrm{o}}$.10, 13$^{\textrm{o}}$.14 $\pm$ 0$^{\textrm{o}}$.27) $\&$$(A_\circ, D_\circ)$ = (100$^{\textrm{o}}$.282 $\pm$ 0$^{\textrm{o}}$.10,9$^{\textrm{o}}$.577 $\pm$ 0$^{\textrm{o}}$.323) respectively. We also computedthe Velocity Ellipsoid Parameters (VEPs), matrix elements ($\mu_{ij}$),direction cosines ($l_j$, $m_j$, $n_j$) and the Galactic longitude of thevertex ($l_2$).

An investigation of poorly studied open cluster NGC 4337 using multi-color photometric and Gaia DR2 astrometric data